. A freight train moves steadily on a level track with velocity v = 108 km/h. Snow falls vertically on to it, and accumulates on it at a constant rate m = 10kgs. Calculate the additional power the locomotive must expend in order to maintain the train's speed despite the snow.
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- ry the system T Am 27. A 5000 kg dump truck has a maximum 400 hp (1 hp = 746 W), and it is moving up on an inclined road with a slope of 15 degrees. If the frictional coefficient on the road is 0.80, what is the max constant speed that the trucker can maintain on the inclined? FV FN fi FL trictional No motion. (0) FNA Force F is now even 6.1 (a) The forces on a Friction An external ntronger but is still 12A box is given a push across a horizontal surface. The box has a mass m, the push gives it an initial speed of 2.40 m/s, and the coefficient of kinetic friction between the box and the surface is 0.140. (a) Use energy considerations to find the distance (in m) the box moves before it stops. m (b) What If? Determine the stopping distance (in m) for the box if its initial speed is doubled to 4.80 m/s. mA 30.0-kg child starting from rest slides down a water slide with a vertical height of 10.0 m. What is the child’s speed (a) halfway down the slide’s vertical distance and (b) three-fourths of the way down? (Neglect friction.)
- A 1.50 x 103-kg car starts from rest and accelerates uniformly to 16.9 m/s in 11.6 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. hp (b) Find the instantaneous power output of the engine at t = 11.6 s, just before the car stops accelerating. hp Need Help? Read It. A 920-kg vehicle whose motor delivers a maximum power of 40.0 hp to its wheels canmaintain a steady speed of 140 km/h on a horizontal roadway. How large is the friction force that impedes its motion at this speed?At the local playground, a child on a swing has a speed of 2.22 m/s when the swing is at its lowest point.To what maximum vertical height does the child rise, assuming he sits still and "coasts"? Ignoring air resistance.
- Problem 1: A60.0 kg skier with an initial speed of 13 m/s coasts up a 2.50 m high rise as shown in the figure. V; = ? KE V 2.5 m 35° ©theexpertta.com A Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.39. Ve = sin) cos() tan() 8 9 HOME cotan() asin() acos() E 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END ODegrees O Radians vol BACKSPACE CLEAR I give up! Submit Hint FeedbackA car of mass 800.0 kg accelerates away from an intersection on a horizontal road. When the car speed is 39.6 km/hr (11.0 m/s), the net power which the engine supplies is 3900.0 W (in addition to the extra power required to make up for air resistance and friction). Calculate the acceleration of the car at that time.A 699-kg elevator starts from rest and moves upward for 2.60 s with constant acceleration until it reaches its cruising speed, 1.83 m/s. (a) What is the average power of the elevator motor during this period? hp (b) How does this amount of power compare with its power during an upward trip with constant speed? (Give the power during an upward trip with constant speed.) hp Need Help? Read It
- If a car (m = 1200 kg) generates 18 hp when traveling at a steady 90 km/h, what must be the combined force exerted on the car due to friction and air resistance? How much power altogether must the car supply to accelerate to 100 km/h in 5.0 s?A motorist driving a 1332-kg car on level ground accelerates from 20.0 m/s to 30.0 m/s in a time of 5.00 s. Ignoring friction and air resistance, determine the average mechanical power in watts the engine must supply during this time interval.A 60 kg skydiver jumps from an airplane 4000 m above the Earth. After falling 450 m, he reachesa terminal velocity of 55 m/s. This means that after this time his velocity does not increase any further. (a) At themoment of the jump, what is the initial (gravitational) potential energy of the system formed by the earth and the skydiver?(Take your reference at ground level.) (b) After the skydiver has fallen 450 m, what is the potential energy(gravitational) potential energy of the system? (Call this the final potential energy.) (c) What is its final kinetic energy?(d) Suppose the skydiver's initial kinetic energy is zero, ∆K = -∆U for this system? Ifyes, justify, if no, explain what happened to the missing energy. (e) The skydiver andthe Earth (excluding the atmosphere!) can be considered a closed system here? Explain. (f) After thereaches terminal velocity (and before opening his parachute), he falls for a while at constant speed.constant velocity. What kind of energy conversion is…